Scala analysis: pluto17
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 29.752 cents 29.752070 2: 59.504 cents 59.504130 3: 89.256 cents 89.256200 4: 119.008 cents 119.008260 5: 495.868 cents 495.867770 6: 525.620 cents 525.619830 7: 555.372 cents 555.371900 8: 585.124 cents 585.123970 9: 614.876 cents 614.876030 10: 644.628 cents 644.628100 11: 674.380 cents 674.380170 12: 704.132 cents 704.132230 13: 1080.992 cents 1080.991740 14: 1110.744 cents 1110.743800 15: 1140.496 cents 1140.495870 16: 1170.248 cents 1170.247930 17: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 29.7521 cents 29.7521 1: 29.7521 cents 29.7521 2: 29.7521 cents 29.7521 3: 29.7521 cents 29.7521 4: 29.7521 cents 29.7521 5: 376.8595 cents 376.8595 6: 29.7521 cents 29.7521 7: 29.7521 cents 29.7521 8: 29.7521 cents 29.7521 9: 29.7521 cents 29.7521 10: 29.7521 cents 29.7521 11: 29.7521 cents 29.7521 12: 29.7521 cents 29.7521 13: 376.8595 cents 376.8595 14: 29.7521 cents 29.7521 15: 29.7521 cents 29.7521 16: 29.7521 cents 29.7521 17: 29.7521 cents 29.7521
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 15 29.75207 cents 1: 2 376.85951 cents 2: 13 59.50413 cents 2: 4 406.61157 cents 3: 11 89.25620 cents 3: 6 436.36364 cents 4: 9 119.00826 cents 4: 8 466.11570 cents 5: 7 148.76033 cents 5: 10 495.86777 cents 6: 5 178.51240 cents 6: 12 525.61983 cents 7: 3 208.26446 cents 7: 14 555.37190 cents 8: 1 238.01652 cents 8: 16 585.12397 cents 9: 16 614.87603 cents 9: 1 961.98348 cents 10: 14 644.62810 cents 10: 3 991.73554 cents 11: 12 674.38017 cents 11: 5 1021.48761 cents 12: 10 704.13223 cents 12: 7 1051.23967 cents 13: 8 733.88430 cents 13: 9 1080.99174 cents 14: 6 763.63636 cents 14: 11 1110.74380 cents 15: 4 793.38843 cents 15: 13 1140.49587 cents 16: 2 823.14049 cents 16: 15 1170.24793 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0.0 : 29.8 59.5 89.3 119.0 495.9 525.6 555.4 585.1 614.9 644.6 674.4 704.1 1081.0 1110.7 1140.5 1170.2 1200.0 29.8 : 29.8 59.5 89.3 466.1 495.9 525.6 555.4 585.1 614.9 644.6 674.4 1051.2 1081.0 1110.7 1140.5 1170.2 1200.0 59.5 : 29.8 59.5 436.4 466.1 495.9 525.6 555.4 585.1 614.9 644.6 1021.5 1051.2 1081.0 1110.7 1140.5 1170.2 1200.0 89.3 : 29.8 406.6 436.4 466.1 495.9 525.6 555.4 585.1 614.9 991.7 1021.5 1051.2 1081.0 1110.7 1140.5 1170.2 1200.0 119.0 : 376.9 406.6 436.4 466.1 495.9 525.6 555.4 585.1 962.0 991.7 1021.5 1051.2 1081.0 1110.7 1140.5 1170.2 1200.0 495.9 : 29.8 59.5 89.3 119.0 148.8 178.5 208.3 585.1 614.9 644.6 674.4 704.1 733.9 763.6 793.4 823.1 1200.0 525.6 : 29.8 59.5 89.3 119.0 148.8 178.5 555.4 585.1 614.9 644.6 674.4 704.1 733.9 763.6 793.4 1170.2 1200.0 555.4 : 29.8 59.5 89.3 119.0 148.8 525.6 555.4 585.1 614.9 644.6 674.4 704.1 733.9 763.6 1140.5 1170.2 1200.0 585.1 : 29.8 59.5 89.3 119.0 495.9 525.6 555.4 585.1 614.9 644.6 674.4 704.1 733.9 1110.7 1140.5 1170.2 1200.0 614.9 : 29.8 59.5 89.3 466.1 495.9 525.6 555.4 585.1 614.9 644.6 674.4 704.1 1081.0 1110.7 1140.5 1170.2 1200.0 644.6 : 29.8 59.5 436.4 466.1 495.9 525.6 555.4 585.1 614.9 644.6 674.4 1051.2 1081.0 1110.7 1140.5 1170.2 1200.0 674.4 : 29.8 406.6 436.4 466.1 495.9 525.6 555.4 585.1 614.9 644.6 1021.5 1051.2 1081.0 1110.7 1140.5 1170.2 1200.0 704.1 : 376.9 406.6 436.4 466.1 495.9 525.6 555.4 585.1 614.9 991.7 1021.5 1051.2 1081.0 1110.7 1140.5 1170.2 1200.0 1081.0: 29.8 59.5 89.3 119.0 148.8 178.5 208.3 238.0 614.9 644.6 674.4 704.1 733.9 763.6 793.4 823.1 1200.0 1110.7: 29.8 59.5 89.3 119.0 148.8 178.5 208.3 585.1 614.9 644.6 674.4 704.1 733.9 763.6 793.4 1170.2 1200.0 1140.5: 29.8 59.5 89.3 119.0 148.8 178.5 555.4 585.1 614.9 644.6 674.4 704.1 733.9 763.6 1140.5 1170.2 1200.0 1170.2: 29.8 59.5 89.3 119.0 148.8 525.6 555.4 585.1 614.9 644.6 674.4 704.1 733.9 1110.7 1140.5 1170.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 29.7521 .. 376.8595 cents 347.10744 cents 29.75207 cents 2: 59.5041 .. 406.6116 cents 347.10744 cents -317.35538 cents 3: 89.2562 .. 436.3636 cents 347.10744 cents -317.35537 cents 4: 119.0083 .. 466.1157 cents 347.10744 cents -317.35538 cents 5: 148.7603 .. 495.8678 cents 347.10744 cents -317.35537 cents 6: 178.5124 .. 525.6198 cents 347.10743 cents -317.35537 cents 7: 208.2645 .. 555.3719 cents 347.10744 cents -317.35537 cents 8: 238.0165 .. 585.1240 cents 347.10745 cents -317.35538 cents 9: 614.8760 .. 961.9835 cents 347.10745 cents 29.75206 cents 10: 644.6281 .. 991.7355 cents 347.10744 cents -317.35538 cents 11: 674.3802 .. 1021.4876 cents 347.10744 cents -317.35537 cents 12: 704.1322 .. 1051.2397 cents 347.10744 cents -317.35538 cents 13: 733.8843 .. 1080.9917 cents 347.10744 cents -317.35537 cents 14: 763.6364 .. 1110.7438 cents 347.10744 cents -317.35538 cents 15: 793.3884 .. 1140.4959 cents 347.10744 cents -317.35537 cents 16: 823.1405 .. 1170.2479 cents 347.10744 cents -317.35538 cents
SHOW DATA
Number of notes : 17 -- Interval properties -- Smallest interval : 29.75206 cents, class 1 Average step (divided formal octave): 70.5882 cents Largest one step interval : 376.85951 cents Average / Smallest step : 2.372550 Largest / Average step : 5.338843 Largest / Smallest step : 12.666669 Median interval of one step : 29.75207 cents, amount: 15 Most common interval of one step : 29.75207 cents, amount: 15 Least squares average step : 72.14390 cents, oct.: 1226.44628 cents Scale is not proper Scale has Myhill's property chromas: 347.10744 cents and 317.35537 cents, ratio: 1.093750 generators: 8 of 585.12397 cents and 9 of 614.87603 cents ET pair of linear temperament : 39&41 Scale is distributional even Scale is a mode of a 121-tone equal temperament with octave 2/1 degrees: 3 6 9 12 50 53 56 59 62 65 68 71 109 112 115 118 121 generators: 59 and 62 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAAAAAABAAAA Step pattern size order : SSSSLSSSSSSSLSSSS Interval vector is [ 0 0 15 0 0 13 0 0 11 0 0 9 0 0 7 0 0 5 0 0 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 4 0 0 6 0 0 8 0 0 10 0 0 12 0 0 14 0 0 16 0 ] Scale is a Constant Structure, by a margin of 29.75206 cents Scale diversity : 1.088097 Lumma stability : 0.074380 Lumma impropriety factor : 0.826446 Rothenberg efficiency : 0.705882 redundancy: 0.294118 Efficiency x scale size : 12.000000 Number of different interval sizes : 32 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 29.75206 cents Most common intervals : 585.12397 cents & inv., amount: 16 Scale is a chain of 8 triads 0.0 585.124 1170.248 cents Most common triad is 0.0 585.124 614.876 cents, amount: 15 Number of recognisable fifths : 10, average 704.1322 cents Scale contains two identical disjunct hexachords Formal octave complements present : 17 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 8-9 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
17: 0 1 0 1 5 0 1 0 1 0 1 0 5 1 0 1 0 N I SD: 19.8448 c. M:-31.5022 c. 19: 0 1 0 1 6 0 1 0 1 0 1 0 6 1 0 1 0 N I SD: 17.4389 c. M: 29.7521 c. 21: 1 0 1 0 7 0 1 0 1 0 1 0 7 0 1 0 1 N I SD: 16.5126 c. M: 27.3908 c. 22: 1 0 1 0 7 1 0 1 0 1 0 1 7 0 1 0 1 N I SD: 14.8273 c. M: 24.7934 c. 24: 1 0 1 0 8 1 0 1 0 1 0 1 8 0 1 0 1 N I SD: 14.7076 c. M:-24.3802 c. 27: 1 0 1 1 8 1 0 1 1 0 1 1 8 1 1 0 1 N SD: 12.3861 c. M: 22.4059 c. 28: 1 0 1 1 9 0 1 1 0 1 1 0 9 1 1 0 1 N I SD: 12.1024 c. M: 18.4179 c. 29: 1 0 1 1 9 1 0 1 1 1 0 1 9 1 1 0 1 N I SD: 10.9665 c. M:-18.1248 c. 31: 1 1 0 1 10 1 0 1 1 1 0 1 10 1 0 1 1 N I SD: 11.2225 c. M:-17.9152 c. 32: 1 1 0 1 10 1 1 1 0 1 1 1 10 1 0 1 1 N I SD: 10.2226 c. M:-15.4959 c. 37: 1 1 1 1 11 1 1 1 1 1 1 1 11 1 1 1 1 N M DE I SD: 6.5655 c. M:-10.7215 c. 39: 1 1 1 1 12 1 1 1 1 1 1 1 12 1 1 1 1 N M DE I SD: 2.4915 c. M:-4.0687 c. 41: 1 1 1 1 13 1 1 1 1 1 1 1 13 1 1 1 1 N M DE I SD: 1.1850 c. M:-1.9351 c. 80: 2 2 2 2 25 2 2 2 2 2 2 2 25 2 2 2 2 N M DE I SD: 0.6073 c. M:-0.9917 c. 121: 3 3 3 3 38 3 3 3 3 3 3 3 38 3 3 3 3 N M DE I SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.0886 cents 3 .. 6 match: 3 H SD: 60.0799 cents 4 .. 8 match: 4 H SD: 39.2014 cents 5 .. 10 match: 4 SD: 31.6503 cents 6 .. 12 match: 5 SD: 30.2478 cents 7 .. 14 match: 6 SD: 25.0051 cents 8 .. 16 match: 5 SD: 17.0674 cents 9 .. 18 match: 6 SD: 14.7917 cents 10 .. 20 match: 6 SD: 10.3581 cents 11 .. 22 match: 6 SD: 10.0995 cents 12 .. 24 match: 7 SD: 5.9498 cents 13 .. 26 match: 8 SD: 7.3739 cents 14 .. 28 match: 7 SD: 1.5611 cents 15 .. 30 match: 8 SD: 4.8099 cents 16 .. 32 match: 8 SD: 4.1478 cents 17 .. 34 match: 8 SD: 4.8934 cents 18 .. 36 match: 8 SD: 2.7384 cents 19 .. 38 match: 10 SD: 4.6459 cents 20 .. 40 match: 9 SD: 2.5492 cents 21 .. 42 match: 10 SD: 3.1323 cents 22 .. 44 match: 11 SD: 3.9340 cents 23 .. 46 match: 11 SD: 4.0156 cents 24 .. 48 match: 11 SD: 2.9408 cents 25 .. 50 match: 12 SD: 3.2031 cents 26 .. 52 match: 11 SD: 2.4905 cents 27 .. 54 match: 13 SD: 2.4094 cents 28 .. 56 match: 13 SD: 1.9905 cents 29 .. 58 match: 13 SD: 2.1662 cents 30 .. 60 match: 13 SD: 1.7015 cents 31 .. 62 match: 14 SD: 2.0874 cents 32 .. 64 match: 13 SD: 2.2533 cents 33 .. 66 match: 14 SD: 2.3176 cents 34 .. 68 match: 14 SD: 2.2982 cents 35 .. 70 match: 14 SD: 2.4650 cents 36 .. 72 match: 15 SD: 2.4039 cents 37 .. 74 match: 16 SD: 2.2278 cents 38 .. 76 match: 15 SD: 2.1460 cents 39 .. 78 match: 16 SD: 2.2021 cents 40 .. 80 match: 16 SD: 1.4506 cents 41 .. 82 match: 15 SD: 2.7669 cents 42 .. 84 match: 16 SD: 1.3254 cents 43 .. 86 match: 16 SD: 2.1269 cents 44 .. 88 match: 16 SD: 1.9361 cents 45 .. 90 match: 16 SD: 1.8110 cents 46 .. 92 match: 16 SD: 2.0419 cents 47 .. 94 match: 16 SD: 1.9141 cents 48 .. 96 match: 16 SD: 1.7673 cents 49 .. 98 match: 16 SD: 1.9537 cents 50 .. 100 match: 17 SD: 1.7793 cents 51 .. 102 match: 17 SD: 1.6278 cents 52 .. 104 match: 17 SD: 1.5389 cents 53 .. 106 match: 17 SD: 1.4186 cents 54 .. 108 match: 17 SD: 1.2105 cents 57 .. 114 match: 17 SD: 1.1047 cents 58 .. 116 match: 17 SD: 1.0483 cents 82 .. 164 match: 17 SD: 0.8258 cents 108 .. 216 match: 17 SD: 0.7517 cents 109 .. 218 match: 17 SD: 0.6951 cents 111 .. 222 match: 17 SD: 0.5899 cents 113 .. 226 match: 17 SD: 0.5821 cents 115 .. 230 match: 17 SD: 0.5522 cents 150 .. 300 match: 17 SD: 0.5450 cents 151 .. 302 match: 17 SD: 0.5025 cents 164 .. 328 match: 17 SD: 0.4635 cents 166 .. 332 match: 17 SD: 0.3543 cents 169 .. 338 match: 17 SD: 0.3309 cents 223 .. 446 match: 17 SD: 0.3107 cents 225 .. 450 match: 17 SD: 0.3102 cents 226 .. 452 match: 17 SD: 0.2995 cents 227 .. 454 match: 17 SD: 0.2915 cents 239 .. 478 match: 17 SD: 0.2912 cents 251 .. 502 match: 17 SD: 0.2908 cents 265 .. 530 match: 17 SD: 0.2840 cents 277 .. 554 match: 17 SD: 0.2751 cents 279 .. 558 match: 17 SD: 0.2574 cents 281 .. 562 match: 17 SD: 0.2068 cents 338 .. 676 match: 17 SD: 0.1759 cents 397 .. 794 match: 17 SD: 0.1625 cents 450 .. 900 match: 17 SD: 0.1492 cents 452 .. 904 match: 17 SD: 0.1467 cents 476 .. 952 match: 17 SD: 0.1428 cents 510 .. 1020 match: 17 SD: 0.1256 cents 579 .. 1158 match: 17 SD: 0.1210 cents